On 08/20, Julius Smith wrote:
>
> Pretty fun! This looks closely related Andy Moorer's technique:
>
> @ARTICLE{MoorerDSF75,
> AUTHOR = "James A. Moorer",
> TITLE = "The Synthesis of Complex Audio Spectra by Means of
> Discrete Summation Formulae",
> JOURNAL = JAES,
> VOLUME = 24,
> PAGES = {717--727},
> MONTH = dec,
> NOTE = "Also available as CCRMA Report no.
> \htmladdnormallink{STAN-M-5}{https://ccrma.stanford.edu/STANM/stanms/stanm5/
> }",
> YEAR = 1975
> }
Thanks! At first glance I don't think this is very closely related
but interesting.
I even wrote
jm_osc(a,f0,df) =
(so(f0) - a*so(f0-df)) / (1 + a^2 - 2*a*co(df))
with {
co = os.quadosc : _,!;
so = os.quadosc : !,_;
};
to verify it outputs the infinite sum of harmonics with a^n amplitudes,
and of course it is trivial to make the alias-free version:
jm_osc_noalias(a,f0,df) =
jm_osc(a,f0,df) -
jm_osc(a,fn,df) * a^n
with {
n = (ma.SR/2 - f0) / df : int;
fn = f0 + n*df;
};
may be another candidate for oscillators.lib ;)
> I vote in favor of the addition provided its well documented in its
> comments -> MarkDown extraction.
OK, will try to do sometime...
Thanks!
Oleg.
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